GCF of 8733/456, 5748/7984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8733/456, 5748/7984 i.e 3/455088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8733/456, 5748/7984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8733/456,5748/7984?
Given fractions are 8733/456,5748/7984
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8733/456,5748/7984, numerators are 8733,5748
Denominators are 456,7984
The GCF of 8733,5748 is 3 .
LCM of 456,7984 is 455088.
The greatest common factor of 8733/456,5748/7984 = [GCF of 8733,5748]/[LCM of 456,7984]= 3/455088
Therefore, the GCF of 8733/456,5748/7984 is 3/455088.
To find the highest common factor of 8733,5748, we have to find the factors of both numbers and list the highest common factor.
The factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733
The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748
The HCF of 8733,5748 is 3.
Lets's calculate GCF of 8733,5748
| 3 | 8733, 5748 |
| 2911, 1916 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8733,5748 By Matching Biggest Common Factor Method
Now, list down the factors of 8733
:1,3,41,71,123,213,2911,8733
Now, list down the factors of 5748
:1,2,3,4,6,12,479,958,1437,1916,2874,5748
Greatest Common Factor
We found the factors 8733,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 8733,5748 is 3.
Lets's calculate LCM of 456,7984
| 2 | 456, 7984 |
| 2 | 228, 3992 |
| 2 | 114, 1996 |
| 57, 998 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 998 = 455088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/455088
Therefore, the GCF of Fractions 8733/456,5748/7984 is 3/455088
Least Common Multiple of 456,7984 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 456,7984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,7984) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(456,7984) x common factors =8 x 1 = 8
LCM(456,7984) = ( 456 × 7984 ) / 8
LCM(456,7984) = 3640704 / 8
LCM(456,7984) = 455088
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FAQs on GCF of Fractions of 8733/456, 5748/7984
1. What is the HCF of 8733,5748?
The HCF of 8733,5748 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8733/456, 5748/7984?
Answer: GCF of Numerators as per given numbers 8733/456, 5748/7984 is
GCF of Numerators i.e. for 8733,5748 is 3
LCM of denominators i.e. for 456,7984 is 455088.
Thus, GCF of Fractions is 3/455088.Finally, GCF of Fractions for 8733/456, 5748/7984 is 3/455088.